Teaching Exponents

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Transcript of Teaching Exponents

ExponentsVocabulary Exponent- Indicates the number of times a # is to be multiplied by itself (power) Rules of exponents X - Anything raised to "1" will equal itself (Base #) 5 = 5

(X )Base: A # that is to be raised to a power

Power: Number that tells how many times to multiply 32Power Base Cubed: a number that has an exponent of 3 Squared: a number that has a exponent of 2 FormsFactor form: When the numbers are expanded out

4 = 4 x 4 x 43factorsExponent form: when you only see the base number and power 4

300X1- Anything raised to "0" will equal 1 6 = 1 1X MXXn= Xm+nWhen multiplying, if the bases are the same then the exponents can be added.

4 x 4 = 4 = 4 standard form: the answer 4 = 6432 32+35x/XmnWhen dividing,if the bases are the same then the exponents can be subtracted 5/5= Xm-n53= 55-3=52Rules Continued mn=XmnExpand, and make sure your following the order of operations (x ) = (xx) =(xx)(xx)(xx)(xx)(xx)=x25510(xy)m= xmymThink of distribution and distribute the exponent to both variables. (xy) = x y222Negative Exponents

A negative exponent means, that the exponet is on the wrong side of the fraction line, so you take the reciprocal to make it even (flip, divide)Bases that are (-) and have a even exponent will have a (+) answer-4 = (-4)*(-4)=162Bases that are (-) and have a odd exponent will have a (-) answer -5 = (-5)* (-5)* (-5)= -1253a-n=1an7-2= 172= 1 49=0.0204Cards of Exponents ACE-2-45-1010Variables Face Cards- Bases- Exponents-Jokers-Product ruleones rule zero rule Quotient rule power rule